FunctionalExpressionRing

open class FunctionalExpressionRing<T, A : Ring<T>>(algebra: A) : FunctionalExpressionSpace<T, A> , Ring<Expression<T>>

Functions

add

common

open override fun add(a: Expression<T>, b: Expression<T>): Expression<T>

Builds an Expression of addition of two another expressions.

binaryOperation

common

open fun binaryOperation(operation: String, left: Expression<T>, right: Expression<T>): Expression<T>

Dynamically invokes a binary operation with the certain name.

binaryOperationFunction

common

open override fun binaryOperationFunction(operation: String): (left: Expression<T>, right: Expression<T>) -> Expression<T>

Builds an Expression of dynamic call of binary operation operation on left and right.

bindSymbol

common

open override fun bindSymbol(value: String): Expression<T>

Bind a string to a context using StringSymbol

bindSymbolOrNull

common

open override fun bindSymbolOrNull(symbol: Symbol): Expression<T>?

Builds an Expression to access a variable.

const

common

open override fun const(value: T): Expression<T>

Builds an Expression of constant expression which does not depend on arguments.

div

common

open operator fun Expression<T>.div(k: Number): Expression<T>

Division of this element by scalar.

equals

common

open operator fun equals(other: Any?): Boolean

hashCode

common

open fun hashCode(): Int

minus

common

operator fun T.minus(arg: Expression<T>): Expression<T>

operator fun Expression<T>.minus(arg: T): Expression<T>

open operator fun Expression<T>.minus(b: Expression<T>): Expression<T>

Subtraction of two elements.

multiply

common

open override fun multiply(a: Expression<T>, b: Expression<T>): Expression<T>

Builds an Expression of multiplication of two expressions.

open override fun multiply(a: Expression<T>, k: Number): Expression<T>

Builds an Expression of multiplication of expression by number.

plus

common

operator fun T.plus(arg: Expression<T>): Expression<T>

operator fun Expression<T>.plus(arg: T): Expression<T>

open operator fun Expression<T>.plus(b: Expression<T>): Expression<T>

Addition of two elements.

times

common

operator fun T.times(arg: Expression<T>): Expression<T>

operator fun Expression<T>.times(arg: T): Expression<T>

open operator fun Expression<T>.times(b: Expression<T>): Expression<T>

Multiplies this element by scalar.

open operator fun Number.times(b: Expression<T>): Expression<T>

Multiplication of this number by element.

open operator fun Expression<T>.times(k: Number): Expression<T>

Multiplication of this element by a scalar.

toString

common

open fun toString(): String

unaryMinus

common

open operator fun Expression<T>.unaryMinus(): Expression<T>

The negation of this element.

unaryOperation

common

open fun unaryOperation(operation: String, arg: Expression<T>): Expression<T>

Dynamically invokes an unary operation with the certain name.

unaryOperationFunction

common

open override fun unaryOperationFunction(operation: String): (arg: Expression<T>) -> Expression<T>

Builds an Expression of dynamic call of unary operation with name operation on arg.

unaryPlus

common

open operator fun Expression<T>.unaryPlus(): Expression<T>

Returns this value.

Properties

algebra

common

val algebra: A

The algebra to provide for Expressions built.

one

common

open override val one: Expression<T>

neutral operation for multiplication

zero

common

open override val zero: Expression<T>

The neutral element of addition.

Inheritors

FunctionalExpressionField